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Geometric Analysis Seminar

Index and characterizations of Lawson's embedded minimal surfaces

David Wiygul -

Location:  zoom
Date & time: Tuesday, 02 March 2021 at 2:50PM - 3:50PM

Abstract: Fifty years ago Blaine Lawson constructed the first examples, beyond geodesic spheres and Clifford tori, of closed minimal surfaces embedded in the round 3-sphere. I will review some natural questions (and a few answers) concerning the space of such surfaces, with a focus on results recently obtained for the Lawsons in collaboration with Nicos Kapouleas: namely a characterization by their topology and symmetries and, for an infinite subfamily, the computation of their Morse index and nullity.